The equations are .
Equation (1)
Equation (2)
Solve the first equation
According to addition property of equality: Add 0.3x to each side.
\ (Apply commutative property of addition:
)
(Apply additive inverse property:
)
(Apply additive identity property:
)
Substitute in equation (2).
(Apply distributive property:
)
(Multiply
)
(Apply commutative property of addition:
)
(Subtract:
)
(Add 0.15 to each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
According to division property of equality: Divide each side by 0.41.
\ (Cancel common terms)
(Divide:
)
Substitute in equation
.
(Multiply:
)
(Add:
)
The solution is .